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Finding the Third Proportional to 3,493,416 and 7,636,464

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Solution

The third proportional to 3,493,416 and 7,636,464 is: 16,692,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493,416 : 7,636,464 = 7,636,464 : x
  2. Step 2: Convert to fraction form
    3,493,416/7,636,464 = 7,636,464/x
  3. Step 3: Cross multiply
    3,493,416x = 7,636,464 × 7,636,464
  4. Step 4: Simplify right side
    3,493,416x = 58,315,582,423,296
  5. Step 5: Solve for x
    x = 58,315,582,423,296/3,493,416
  6. Step 6: Final answer
    x = 16,692,996.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.